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Some properties of the Bézier-Durrmeyer type operators

Anioł G., Pych-Taberska P.

Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae

2001

[Z] 41

1-11

For some classes of measurable locally bounded functions / on an interval /, the rate of pointwise convergence of the Bézier-Durrmeyer type modification of discrete Feller operators is estimated. In the main theorems the Chanturija modulus of variation is used.

On the rate of pointwise convergence of the Kantorovich-type operators

Anioł G.

Fasciculi Mathematici

1998

Nr 29

5-15

For bounded or some locally bounded functions f measurable on an inteIVall there is estimated the rate of convergence of the Kantorovich-type operators L:f at those points xEInt l at which the one-sided limits f(x :t o) exist. In the main theorems the Chanturiya modulus of variation is used.